Topology and its Applications最新文献_第10页

Nested cobordisms, Cyl-objects and Temperley-Lieb algebras 嵌套协矩阵，圆对象和Temperley-Lieb代数

IF 0.5 4区数学

Topology and its Applications Pub Date : 2025-05-28 DOI: 10.1016/j.topol.2025.109448

Maxine E. Calle , Renee S. Hoekzema , Laura Murray , Natalia Pacheco-Tallaj , Carmen Rovi , Shruthi Sridhar-Shapiro

引用次数: 0

2-Segal sets from cuts of rooted trees 从有根的树的切下来的2萼片组

IF 0.5 4区数学

Topology and its Applications Pub Date : 2025-05-28 DOI: 10.1016/j.topol.2025.109447

Julia E. Bergner , Olivia Borghi , Pinka Dey , Imma Gálvez-Carrillo , Teresa Hoekstra-Mendoza

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New family of hyperbolic knots whose Upsilon invariants are convex Upsilon不变量为凸的新双曲结族

IF 0.6 4区数学

Topology and its Applications Pub Date : 2025-05-27 DOI: 10.1016/j.topol.2025.109441

Keisuke Himeno

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Uniquely compatible transfer systems for cyclic groups of order prqs 阶prqs循环群的唯一相容传递系统

IF 0.5 4区数学

Topology and its Applications Pub Date : 2025-05-27 DOI: 10.1016/j.topol.2025.109443

Kristen Mazur , Angélica M. Osorno , Constanze Roitzheim , Rekha Santhanam , Danika Van Niel , Valentina Zapata Castro

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Characterization of the OU matrix of a braid diagram 编织图的OU矩阵的表征

IF 0.6 4区数学

Topology and its Applications Pub Date : 2025-05-27 DOI: 10.1016/j.topol.2025.109440

Ayaka Shimizu , Yoshiro Yaguchi

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Equivariant Witt complexes and twisted topological Hochschild homology 等变Witt配合物与扭曲拓扑Hochschild同调

IF 0.5 4区数学

Topology and its Applications Pub Date : 2025-05-27 DOI: 10.1016/j.topol.2025.109444

Anna Marie Bohmann , Teena Gerhardt , Cameron Krulewski , Sarah Petersen , Lucy Yang

{"title":"Equivariant Witt complexes and twisted topological Hochschild homology","authors":"Anna Marie Bohmann , Teena Gerhardt , Cameron Krulewski , Sarah Petersen , Lucy Yang","doi":"10.1016/j.topol.2025.109444","DOIUrl":"10.1016/j.topol.2025.109444","url":null,"abstract":"<div><div>The topological Hochschild homology of a ring (or ring spectrum) R is an <math><msup><mrow><mi>S</mi></mrow><mrow><mn>1</mn></mrow></msup></math>-spectrum, and the fixed points of <math><mi>THH</mi><mo>(</mo><mi>R</mi></math>) for subgroups <math><msub><mrow><mi>C</mi></mrow><mrow><mi>n</mi></mrow></msub><mo>⊂</mo><msup><mrow><mi>S</mi></mrow><mrow><mn>1</mn></mrow></msup></math> have been widely studied due to their use in algebraic K-theory computations. Hesselholt and Madsen proved that the fixed points of topological Hochschild homology are closely related to Witt vectors [26]. Further, they defined the notion of a Witt complex, and showed that it captures the algebraic structure of the homotopy groups of the fixed points of THH [28]. Recent work [3] defines a theory of twisted topological Hochschild homology for equivariant rings (or ring spectra) that builds upon Hill, Hopkins and Ravenel's work on equivariant norms [30]. In this paper, we study the algebraic structure of the equivariant homotopy groups of twisted THH. In particular, drawing on the definition of equivariant Witt vectors in [8], we define an equivariant Witt complex and prove that the equivariant homotopy of twisted THH has this structure. Our definition of equivariant Witt complexes contributes to a growing body of research in the subject of equivariant algebra.</div></div>","PeriodicalId":51201,"journal":{"name":"Topology and its Applications","volume":"376 ","pages":"Article 109444"},"PeriodicalIF":0.5,"publicationDate":"2025-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145183876","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Steenrod operations on polyhedral products 多面体积的Steenrod运算

IF 0.5 4区数学

Topology and its Applications Pub Date : 2025-05-27 DOI: 10.1016/j.topol.2025.109446

Sanjana Agarwal , Jelena Grbić , Michele Intermont , Milica Jovanović , Evgeniya Lagoda , Sarah Whitehouse

引用次数: 0

Combinatorial structures of the space of Hamiltonian vector fields on compact surfaces 紧曲面上哈密顿向量场空间的组合结构

IF 0.6 4区数学

Topology and its Applications Pub Date : 2025-05-27 DOI: 10.1016/j.topol.2025.109439

Tomoo Yokoyama

引用次数: 0

Bounding the K(p − 1)-local exotic Picard group at p > 3 在p > 处限定K(p − 1)-本地奇异皮卡德群3

IF 0.5 4区数学

Topology and its Applications Pub Date : 2025-05-27 DOI: 10.1016/j.topol.2025.109445

Irina Bobkova , Andrea Lachmann , Ang Li , Alicia Lima , Vesna Stojanoska , Adela YiYu Zhang

{"title":"Bounding the K(p − 1)-local exotic Picard group at p > 3","authors":"Irina Bobkova , Andrea Lachmann , Ang Li , Alicia Lima , Vesna Stojanoska , Adela YiYu Zhang","doi":"10.1016/j.topol.2025.109445","DOIUrl":"10.1016/j.topol.2025.109445","url":null,"abstract":"<div><div>In this paper, we bound the descent filtration of the exotic Picard group <math><msub><mrow><mi>κ</mi></mrow><mrow><mi>n</mi></mrow></msub></math>, for a prime number <math><mi>p</mi><mo>></mo><mn>3</mn></math> and <math><mi>n</mi><mo>=</mo><mi>p</mi><mo>−</mo><mn>1</mn></math>. Our method involves a detailed comparison of the Picard spectral sequence, the homotopy fixed point spectral sequence, and an auxiliary β-inverted homotopy fixed point spectral sequence whose input is the Farrell-Tate cohomology of the Morava stabilizer group. Along the way, we deduce that the <math><mi>K</mi><mo>(</mo><mi>n</mi><mo>)</mo></math>-local Adams-Novikov spectral sequence for the sphere has a horizontal vanishing line at <math><mn>3</mn><msup><mrow><mi>n</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>+</mo><mn>1</mn></math> on the <math><msub><mrow><mi>E</mi></mrow><mrow><mn>2</mn><msup><mrow><mi>n</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>+</mo><mn>2</mn></mrow></msub></math>-page.</div><div>The same analysis also allows us to express the exotic Picard group of <math><mi>K</mi><mo>(</mo><mi>n</mi><mo>)</mo></math>-local modules over the homotopy fixed points spectrum <math><msubsup><mrow><mi>E</mi></mrow><mrow><mi>n</mi></mrow><mrow><mi>h</mi><mi>N</mi></mrow></msubsup></math>, where N is the normalizer in <math><msub><mrow><mi>G</mi></mrow><mrow><mi>n</mi></mrow></msub></math> of a finite cyclic subgroup of order p, as a subquotient of a single continuous cohomology group <math><msup><mrow><mi>H</mi></mrow><mrow><mn>2</mn><mi>n</mi><mo>+</mo><mn>1</mn></mrow></msup><mo>(</mo><mi>N</mi><mo>,</mo><msub><mrow><mi>π</mi></mrow><mrow><mn>2</mn><mi>n</mi></mrow></msub><msub><mrow><mi>E</mi></mrow><mrow><mi>n</mi></mrow></msub><mo>)</mo></math>.</div></div>","PeriodicalId":51201,"journal":{"name":"Topology and its Applications","volume":"376 ","pages":"Article 109445"},"PeriodicalIF":0.5,"publicationDate":"2025-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145183854","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A prop structure on partitions 隔板上的支柱结构

IF 0.5 4区数学

Topology and its Applications Pub Date : 2025-05-26 DOI: 10.1016/j.topol.2025.109442

Coline Emprin , Dana Hunter , Muriel Livernet , Christine Vespa , Inna Zakharevich

引用次数: 0